75765768 has 64 divisors (see below), whose sum is σ = 214737600. Its totient is φ = 22083840.

The previous prime is 75765763. The next prime is 75765773. The reversal of 75765768 is 86756757.

It is an interprime number because it is at equal distance from previous prime (75765763) and next prime (75765773).

It is a self number, because there is not a number n which added to its sum of digits gives 75765768.

It is not an unprimeable number, because it can be changed into a prime (75765763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (3355275).

Almost surely, 2^75765768 is an apocalyptic number.

75765768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75765768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107368800).

75765768 is an abundant number, since it is smaller than the sum of its proper divisors (138971832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75765768 is a wasteful number, since it uses less digits than its factorization.

75765768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822 (or 12818 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 51.

The square root of 75765768 is about 8704.3533935612. The cubic root of 75765768 is about 423.1467503276.

The spelling of 75765768 in words is "seventy-five million, seven hundred sixty-five thousand, seven hundred sixty-eight".